A person on horseback is on a drawbridge which is at an angle 9 = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is = 6.99 m long and has a mass of 1,920 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,260 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Determine the tension in the cable (in N). 20623 X Draw a diagram of the bridge, with forces and distances clearly labeled. Use your diagram to write the torque equation for rotational equilibrium with rotation axis at the hinge, and solve your equation for T. N (b) Determine the horizontal force component (in N) acting on the bridge at the hinge. magnitude N direction to the right (c) Determine the vertical force component (in N) acting on the bridge at the hinge. magnitude direction upwards N
A person on horseback is on a drawbridge which is at an angle 9 = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is = 6.99 m long and has a mass of 1,920 kg. A cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,260 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is perpendicular to the bridge. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Determine the tension in the cable (in N). 20623 X Draw a diagram of the bridge, with forces and distances clearly labeled. Use your diagram to write the torque equation for rotational equilibrium with rotation axis at the hinge, and solve your equation for T. N (b) Determine the horizontal force component (in N) acting on the bridge at the hinge. magnitude N direction to the right (c) Determine the vertical force component (in N) acting on the bridge at the hinge. magnitude direction upwards N
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A person on horseback is on a drawbridge which is at an angle 9 = 20.0° above the horizontal, as shown in the figure. The center of mass of the person-horse system is d = 1.00 m from the end of the bridge. The bridge is = 6.99 m long and has a mass of 1,920 kg. A
cable is attached to the bridge 5.00 m from the hinge and to a point on the wall h = 12.0 m above the bridge. The mass of person plus horse is 1,260 kg. Assume the bridge is uniform. Note that the drawing is not to scale and you may not assume that the cable is
perpendicular to the bridge. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)
(a) Determine the tension in the cable (in N).
20623 X
Draw a diagram of the bridge, with forces and distances clearly labeled. Use your diagram to write the torque equation for rotational equilibrium with rotation axis at the hinge, and solve your equation for T. N
(b) Determine the horizontal force component (in N) acting on the bridge at the hinge.
magnitude
N
direction
to the right
(c) Determine the vertical force component (in N) acting on the bridge at the hinge.
magnitude
direction
upwards
N
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